An Optical Study of the Faint End of the Stellar Luminosity FunctionWe implement a new method by which to study the faint end of the field star luminosity function. The method relies on deep, multicolor photometry of fields projected against highly obscured, nearby molecular clouds. The clouds act as nearly opaque screens and delimit a well- defined survey volume which is in principle free of the problem of distinguishing nearby, intrinsically faint dwarf stars from more distant red giants. This study is based upon deep photographic and CCD photometry at optical (V,R,I) bandpasses towards the most highly obscured portions of the Taurus and Ophiuchus molecular clouds. The total volume delimited by the clouds is similar 200 pc^3. Within this region our survey is complete for all stars brighter than M_v = 16 - 17 mag; at R and I, the survey is complete down to the lowest mass stars capable of sustaining core hydrogen burning...